Lattice simulations of real-time quantum fields

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dc.creatorBerges, J.
dc.creatorBorsanyi, Sz.
dc.creatorSexty, D.
dc.creatorStamatescu, I. -O.
dc.date2006-09-27
dc.date.accessioned2026-07-07T10:24:47Z
dc.date.available2026-07-07T10:24:47Z
dc.descriptionWe investigate lattice simulations of scalar and nonabelian gauge fields in Minkowski space-time. For SU(2) gauge-theory expectation values of link variables in 3+1 dimensions are constructed by a stochastic process in an additional (5th) ``Langevin-time''. A sufficiently small Langevin step size and the use of a tilted real-time contour leads to converging results in general. All fixed point solutions are shown to fulfil the infinite hierarchy of Dyson-Schwinger identities, however, they are not unique without further constraints. For the nonabelian gauge theory the thermal equilibrium fixed point is only approached at intermediate Langevin-times. It becomes more stable if the complex time path is deformed towards Euclidean space-time. We analyze this behavior further using the real-time evolution of a quantum anharmonic oscillator, which is alternatively solved by diagonalizing its Hamiltonian. Without further optimization stochastic quantization can give accurate descriptions if the real-time extend of the lattice is small on the scale of the inverse temperature.
dc.description36 pages, 15 figures, Latex
dc.identifierhttps://arxiv.org/abs/hep-lat/0609058
dc.identifierhttp://arxiv.org/abs/hep-lat/0609058
dc.identifierPhys.Rev.D75:045007,2007
dc.identifierdoi:10.1103/PhysRevD.75.045007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/176313
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.subjectNuclear Theory
dc.titleLattice simulations of real-time quantum fields
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